Which of the following is a solution to the system of linear equations below? 3x+y=15 2x+2y=6 a. (–3, 6) b. (6, –3) c. (–6, 33) d. (6, 33)answer is

Hey Connor

B

Step-by-step explanation

3x + y = 15

2x + 2y = 6

To solve this equation, we want to start by solving 3x + y = 15 for y

3x + y = 15

y = -3x + 15

Then we are going to substitute that for y in 2x + 2y = 6 (I hope you know what substitute mean)

2x + 2y = 6

2x + 2(-3x + 15) = 6

2x - 6x + 30 = 6

-4x = 6 - 30

-4x = -24

Divide both sides by -4

-4x/-4 = -24/-4

x = 6

Now substitute 6 for x in y = -3x + 15

y = -3x + 15

y = -3(6) + 15

y = -18 + 15

y = -3

Thus,

The answer is B (6, -3)

I hope this answer helps you. Let me know if you have any additional questions about this problem or equation in general. As always, it is my pleasure to help students like you!

the science club has 42 people and the robotics club has 33

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